Mechanics of engineering (solids) : comprising statics and kinetics of solids, and the mechanics of the materials of construction, or strength and elasticity of beams, columns, shafts, arches, etc. : for use in technical schools (1911)
Church, Irving P. (Irving Porter), 1851-1931 · New York : Wiley ; London : Chapman & Hall · leaf 412
) This is the law of vertical depth of loading required. For a point of the linear arch where the tangent line is verti-cal, sin ^=0 and z would = oo ; i.e., the load would be t«- LINEAR ARCHES. 391 finitely high. Hence, in practice, a full semi-circle, for in-stance, could not be used as a linear… … to 8= sintf (5) Hence the depth of loadingmust vary inversely as the cube of the sine of the angle dmade by the tangent line (of the linear arch) with the ver-tical. To find the depth z by construction.—Having z„ given, 0being the centre of the arch, prolong Ca and make ah —t^,; at 6 draw a ] to…
Mechanics, Applied · Strength of materials
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